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Finding the Fourth Proportional to 711.86, 982.65 and 554.54

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Solution

The fourth proportional to 711.86, 982.65 and 554.54 is: 765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.86 : 982.65 = 554.54 : x
  2. Step 2: Convert to fraction form
    711.86/982.65 = 554.54/x
  3. Step 3: Cross multiply
    711.86x = 982.65 × 554.54
  4. Step 4: Simplify right side
    711.86x = 544,918.73
  5. Step 5: Solve for x
    x = 544,918.73/711.86
  6. Step 6: Final answer
    x = 765.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.